On the noninterpolation of polyhedral maps (Q1332417)
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scientific article; zbMATH DE number 626341
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the noninterpolation of polyhedral maps |
scientific article; zbMATH DE number 626341 |
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On the noninterpolation of polyhedral maps (English)
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29 August 1994
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The authors consider polyhedral embeddings of graphs in orientable surfaces, and show that in contrast to Duke's interpolation theorem, a graph can have polyhedral embeddings in surfaces of genera \(g\) and \(h\) without having polyhedral embeddings in the ``intermediate'' surfaces; moreover they show that the difference \(| g-h|\) can be made arbitrarily large. Similar results are obtained for nonorientable surfaces as well.
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polyhedral embeddings
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orientable surfaces
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